82210848 has 48 divisors (see below), whose sum is σ = 218778336. Its totient is φ = 27025920.

The previous prime is 82210847. The next prime is 82210873. The reversal of 82210848 is 84801228.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (82210841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1143 + ... + 12873.

It is an arithmetic number, because the mean of its divisors is an integer number (4557882).

Almost surely, 2^82210848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82210848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109389168).

82210848 is an abundant number, since it is smaller than the sum of its proper divisors (136567488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82210848 is a wasteful number, since it uses less digits than its factorization.

82210848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11817 (or 11809 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 82210848 is about 9067.0197970447. The cubic root of 82210848 is about 434.8201978539.

The spelling of 82210848 in words is "eighty-two million, two hundred ten thousand, eight hundred forty-eight".